{"paper":{"title":"Hydrodynamical behavior for the generalized symmetric exclusion with open boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Beatriz Salvador, Chiara Franceschini, Patr\\'icia Gon\\c{c}alves","submitted_at":"2022-01-25T11:24:38Z","abstract_excerpt":"We analyze the generalized symmetric exclusion process, which allows at most $\\alpha$ particles per site, and we put it in contact with stochastic reservoirs whose strength is regulated by a parameter $\\theta\\in\\mathbb R$. We prove that the hydrodynamic behavior is given by the heat equation and depending on the value of $\\theta$, the equation is supplemented with different boundary conditions. Setting $\\alpha = 1$ we find the results known in [1] for the symmetric simple exclusion process."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.10241","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2201.10241/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}